Abstract
Indicator sets arising from symplectic line-spreads of a 3-dimensional projective space are characterized. Moreover, locally Hermitian ovoids of a Hermitian surface
(3, q
2) are studied in terms of “non-equivalent” associated indicator sets. Translation locally Hermitian ovoids of
(3, q
2) arising from regular spreads of PG(3, q), Kantor semifield spreads of PG(3, q) and semifield spreads of PG(3, q) with center
are also investigated.



















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